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arxiv: 1301.3546 · v1 · pith:X7SLFCGQnew · submitted 2013-01-16 · 🧮 math.DS · math.AP

Analysis of a model arising from invasion by precursor and differentiated cells

classification 🧮 math.DS math.AP
keywords wavearisingcellsinvasionsolutionstherewavesanalysis
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We study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equals a certain number, and below which there is no monotonic wave solutions. We also investigate the monotonicity, uniqueness and asymptotics of the waves.

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